A uniform rod of length L and mass M is free to rotate on a frictionless pin through one end. The rod is released from rest in the horizontal position. а. Draw the FBD of the rod when it is in a horizontal position after the person lets go. b. What is the initial torque on the system? What is the initial angular velocity and angular acceleration of the system? d. What is the initial angular momentum of the system? Pivot С. Mg What is the angular velocity of the rod at its lowest position? Because there is no friction, energy is conserved. What is the linear speed (in m/s) of the CM of the rod and the linear speed of the lowest point on the rod when the rod is vertical? g. What is the angular momentum of the rod when it is vertical? h. Why is this angular momentum not equal to the angular momentum when the rod is horizontal? What is causing the change in angular momentum? е. f.

icon
Related questions
Question

I need help solving this problem, thank you!

A uniform rod of length L and mass M is free to rotate on a
frictionless pin through one end. The rod is released from
rest in the horizontal position.
а.
Draw the FBD of the rod when it is in a horizontal
position after the person lets go.
b. What is the initial torque on the system?
What is the initial angular velocity and angular
acceleration of the system?
d. What is the initial angular momentum of the system?
Pivot
Mg
С.
e. What is the angular velocity of the rod at its lowest position? Because there is no friction, energy
is conserved.
f. What is the linear speed (in m/s) of the CM of the rod and the linear speed of the lowest point
on the rod when the rod is vertical?
g. What is the angular momentum of the rod when it is vertical?
h. Why is this angular momentum not equal to the angular momentum when the rod is horizontal?
What is causing the change in angular momentum?
Transcribed Image Text:A uniform rod of length L and mass M is free to rotate on a frictionless pin through one end. The rod is released from rest in the horizontal position. а. Draw the FBD of the rod when it is in a horizontal position after the person lets go. b. What is the initial torque on the system? What is the initial angular velocity and angular acceleration of the system? d. What is the initial angular momentum of the system? Pivot Mg С. e. What is the angular velocity of the rod at its lowest position? Because there is no friction, energy is conserved. f. What is the linear speed (in m/s) of the CM of the rod and the linear speed of the lowest point on the rod when the rod is vertical? g. What is the angular momentum of the rod when it is vertical? h. Why is this angular momentum not equal to the angular momentum when the rod is horizontal? What is causing the change in angular momentum?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 1 images

Blurred answer